3609010080 has 480 divisors, whose sum is σ = 14179511808. Its totient is φ = 858470400.

The previous prime is 3609010051. The next prime is 3609010123. The reversal of 3609010080 is 800109063.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222535 + ... + 5223225.

Almost surely, 2^3609010080 is an apocalyptic number.

3609010080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3609010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089755904).

3609010080 is an abundant number, since it is smaller than the sum of its proper divisors (10570501728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3609010080 is a wasteful number, since it uses less digits than its factorization.

3609010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3609010080 is about 60075.0370786402. The cubic root of 3609010080 is about 1533.8964123954.

The spelling of 3609010080 in words is "three billion, six hundred nine million, ten thousand, eighty".